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2034315324 = 22365313163
BaseRepresentation
bin111100101000001…
…0011000000111100
312020202220221000000
41321100103000330
513131241042244
6533510234300
7101261252316
oct17120230074
95222827000
102034315324
11954355238
12489355990
132656005a2
1415426c7b6
15bd8e0169
hex7941303c

2034315324 has 84 divisors (see below), whose sum is σ = 5438759256. Its totient is φ = 665260128.

The previous prime is 2034315323. The next prime is 2034315347. The reversal of 2034315324 is 4235134302.

2034315324 is a `hidden beast` number, since 20 + 3 + 4 + 315 + 324 = 666.

It is a super-2 number, since 2×20343153242 = 8276877674922449952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034315323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 147967 + ... + 161129.

It is an arithmetic number, because the mean of its divisors is an integer number (64747134).

Almost surely, 22034315324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034315324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719379628).

2034315324 is an abundant number, since it is smaller than the sum of its proper divisors (3404443932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2034315324 is a wasteful number, since it uses less digits than its factorization.

2034315324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13238 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2034315324 is about 45103.3848397213. The cubic root of 2034315324 is about 1267.0859934237.

Adding to 2034315324 its reverse (4235134302), we get a palindrome (6269449626).

The spelling of 2034315324 in words is "two billion, thirty-four million, three hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 243 318 324 477 486 636 729 954 972 1431 1458 1908 2862 2916 4293 5724 8586 12879 13163 17172 25758 26326 38637 39489 51516 52652 77274 78978 118467 154548 157956 236934 355401 473868 697639 710802 1066203 1395278 1421604 2092917 2132406 2790556 3198609 4185834 4264812 6278751 6397218 8371668 9595827 12557502 12794436 18836253 19191654 25115004 37672506 38383308 56508759 75345012 113017518 169526277 226035036 339052554 508578831 678105108 1017157662 2034315324